A particle moves along a line so that its position at any time t20 is given by the function s(t) = -16t? + 60t + 100, where s is measured in feet and t is measured in seconds (a) Find the displacement during the first 5 seconds. (b) Find the average velocity during the first 5 seconds. (c) Find the instantaneous velocity when t = 5. (d) Find the acceleration of the particle when t = 5. (e) At what value or values of t does the particle change direction?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Displacement, average velocity, instantaneous velocity, acceleration and points of change for a particle.

A particle moves along a line so that its position at any time t20 is given by the function
s(t) = -16t2 + 60t + 100, where s is measured in feet and t is measured in seconds
(a) Find the displacement during the first 5 seconds.
(b) Find the average velocity during the first 5 seconds.
(c) Find the instantaneous velocity when t = 5.
(d) Find the acceleration of the particle when t = 5.
(e) At what value or values of t does the particle change
direction?
Transcribed Image Text:A particle moves along a line so that its position at any time t20 is given by the function s(t) = -16t2 + 60t + 100, where s is measured in feet and t is measured in seconds (a) Find the displacement during the first 5 seconds. (b) Find the average velocity during the first 5 seconds. (c) Find the instantaneous velocity when t = 5. (d) Find the acceleration of the particle when t = 5. (e) At what value or values of t does the particle change direction?
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